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Princeton University Press p-adic Simpson Correspondence (AM-193) - Mathematics

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Description

The p-adic Simpson Correspondence by Princeton University Press presents a systematic development of Gerd Faltings' groundbreaking theory for describing p-adic representations of fundamental groups through Higgs bundles and linear algebra. This volume in the Annals of Mathematics Studies series (193) explores two major approaches: one by Ahmed Abbes and Michel Gros, and another by Takeshi Tsuji. The work focuses on generalised representations of the fundamental group that remain p-adically close to the trivial representation, establishing connections between representation theory and algebraic geometry. Written for advanced mathematicians and researchers in number theory and algebraic geometry, this monograph provides rigorous treatment of period rings and their applications to modern arithmetic geometry, making it essential reading for scholars working at the intersection of p-adic analysis and geometric representation theory.

Key Features

The p-adic Simpson Correspondence develops systematic theory combining p-adic representations with Higgs bundles and linear algebraic methods.

This volume presents two distinct approaches to the correspondence by leading researchers Ahmed Abbes, Michel Gros, and Takeshi Tsuji.

Focuses on generalised representations of the fundamental group that are p-adically close to the trivial representation.

Published by Princeton University Press as part of the Annals of Mathematics Studies series (AM-193).

Introduces new families of period rings central to understanding p-adic arithmetic geometry and representation theory.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
09 March 2016
Listed Since
20 October 2015

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